The balanced chemical equation between phosphorus and oxygen can be given as,
![4 P(s) + 5 O_(2)(g) -->2 P_(2)O_(5)(s)](https://img.qammunity.org/2019/formulas/chemistry/college/2bvwiey8dqy6huvo6o4gmwv5u0vk60ogt7.png)
![8.50 mol O_(2) * (2 mol P_(2)O_(5))/(5 mol O_(2)) = 3.40 mol P_(2)O_(5)](https://img.qammunity.org/2019/formulas/chemistry/college/2fjgqyufuve4ijyvzuru77u95q9j1ovg52.png)
3.80 mol
is formed from P (limiting reactant):
Moles of P =
![3.80 mol P_(2)O_(5) * (4 mol P\pi)/(2 mol P_(2)O_(5)) = 7.6 mol P](https://img.qammunity.org/2019/formulas/chemistry/college/calxdrz6iwvmhj1ljy3yekggrq9ggldafn.png)
3.40 mol
is produced when Oxygen is limiting:
Moles of
=
![3.40 mol P_(2)O_(5) * (5 mol O_(2))/(2 mol P_(2)O_(5)) = 8.5 mol O_(2)](https://img.qammunity.org/2019/formulas/chemistry/college/univh5bw946ywhgoojin7azwfuh3xuxe6n.png)
So we have 7.6 mol P and 8.5 mol O2.
Calculating the moles of P2O5 formed from the given moles of P and O2:
Moles of phosphorus pentoxide from P =
So the moles of
produced from P are
=
![3.80 mol P_(2)O_(5)](https://img.qammunity.org/2019/formulas/chemistry/college/l59w9jhdwem44m1xuyx1au7j00jsdtoszu.png)
Moles of phosphorus pentoxide formed from O2 =
![8.5 mol O_(2) * (2 mol P_(2)O_(5))/(5 mol O_(2)) = 3.40 mol P_(2)O_(5)](https://img.qammunity.org/2019/formulas/chemistry/college/6f6xskg71ycjlg8hjfi8utl2vo1i0shtox.png)
O2 produced the least amount of the product so oxygen would be the limiting reactant.
Moles of
produced will be 3.40 mol